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Finding the Fourth Proportional to 104.78, 144.63 and 61.11

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Solution

The fourth proportional to 104.78, 144.63 and 61.11 is: 84.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.78 : 144.63 = 61.11 : x
  2. Step 2: Convert to fraction form
    104.78/144.63 = 61.11/x
  3. Step 3: Cross multiply
    104.78x = 144.63 × 61.11
  4. Step 4: Simplify right side
    104.78x = 8,838.34
  5. Step 5: Solve for x
    x = 8,838.34/104.78
  6. Step 6: Final answer
    x = 84.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.